Exponential Riesz bases in $L^2$ on two interval
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866918224841408512 |
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| author | Belov, Yurii Mironov, Mikhail |
| author_facet | Belov, Yurii Mironov, Mikhail |
| contents | We give sufficient conditions for the exponential system to be a Riesz basis in $L^2(E)$, where $E$ is a union of two intervals. We show that these conditions are close to be necessary. In addition, we demonstrate ``extra point effect'' for such systems, i.e. it may happen that the Riesz basis in $L^2(E)$ differs by one point from the Riesz basis on an interval. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02313 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Exponential Riesz bases in $L^2$ on two interval Belov, Yurii Mironov, Mikhail Classical Analysis and ODEs Complex Variables We give sufficient conditions for the exponential system to be a Riesz basis in $L^2(E)$, where $E$ is a union of two intervals. We show that these conditions are close to be necessary. In addition, we demonstrate ``extra point effect'' for such systems, i.e. it may happen that the Riesz basis in $L^2(E)$ differs by one point from the Riesz basis on an interval. |
| title | Exponential Riesz bases in $L^2$ on two interval |
| topic | Classical Analysis and ODEs Complex Variables |
| url | https://arxiv.org/abs/2212.02313 |